Zobrazeno 1 - 10
of 201
pro vyhledávání: '"JELONEK, Zbigniew"'
We show that the manifold $X=S^2\times S^3$ has infinitely many structures of a fiber bundle over the base $B=S^2.$ In fact for every lens space $L(p,1)$ there is a fibration $L(p,1)\to X\to B.$
Externí odkaz:
http://arxiv.org/abs/2405.01476
We show that two bi-Lipschitz equivalent Brieskorn-Pham hypersurfaces have the same multiplicities at $0$. Moreover we show that if two algebraic $(n-1)$-dimensional cones $P, R\subset\mathbb C^n$ with isolated singularities are homeomorphic, then th
Externí odkaz:
http://arxiv.org/abs/2404.06922
We show that for every $k\ge 3$ there exist complex algebraic cones of dimension $k$ with isolated singularities, which are bi-Lipschitz and semi-algebraically equivalent but they have different degrees. We also prove that homeomorphic projective hyp
Externí odkaz:
http://arxiv.org/abs/2309.07078
Autor:
Fernandes, Filipe, Jelonek, Zbigniew
In this note we provide two special examples of non-injective polynomial maps from $\mathbb{R}^2$ to $\mathbb{R}^2$ with non-vanishing Jacobian: the first one is surjective, the second one has non-dense image.
Externí odkaz:
http://arxiv.org/abs/2306.13095
In the paper \cite{renato} Renato Targino shows that bi-Lipschitz type of plane curve is determined by the local ambient topological properties of curves. Here we show that it is not longer true in higher dimensions. However we show that bi-Lipschitz
Externí odkaz:
http://arxiv.org/abs/2301.12875
Autor:
Jelonek, Zbigniew
Let $(\bf {V,0})\subset (\mathbb{C}^n,0)$ be a germ of a complex hypersurface and let $f: (\mathbb{C}^n,0)\to(\mathbb{C}^n,0)$ be a germ of a finite holomorphic mapping. If germs $(\bf {V,0})$ and ${\bf W}:=(F^{-1}(\bf{ V})),0)$ are irreducible and w
Externí odkaz:
http://arxiv.org/abs/2301.08989
In this paper, we prove Fukui-Kurdyka-Paunescu's Conjecture, which says that subanalytic arc-analytic bi-Lipschitz homeomorphisms preserve the multiplicities of real analytic sets. We also prove several other results on the invariance of the multipli
Externí odkaz:
http://arxiv.org/abs/2108.01179
Autor:
Jelonek, Zbigniew
Let $X\subset \mathbb{C}^n; Y\subset \mathbb{C}^m$ be closed affine varieties and let $\phi: X\to Y$ be an algebraic bi-Lipschitz homeomorphism. Then ${\rm deg}\ X={\rm deg}\ Y.$ Similarly, let $(X,0)\subset (\mathbb{C}^n,0), (Y,0)\subset (\mathbb{C}
Externí odkaz:
http://arxiv.org/abs/2104.06894
Autor:
Chećko, Agnieszka1 (AUTHOR), Jelonek, Zbigniew1 (AUTHOR) zbigniew.jelonek@us.edu.pl, Jelonek, Iwona1 (AUTHOR)
Publikováno v:
PLoS ONE. 5/30/2024, Vol. 19 Issue 5, p1-14. 14p.
Autor:
Jelonek, Zbigniew
Let $F:\Bbb C^n\to\Bbb C^n$ be a polynomial mapping with a non vanishing Jacobian. If the set $S_F$ of non-properness of $F$ is smooth, then $F$ is a surjective mapping. Moreover, the set $S_F$ can not be connected (this is the Nollet-Xavier Conjectu
Externí odkaz:
http://arxiv.org/abs/2011.03472